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A293407 Least integer k such that k/n^2 > (-1 + sqrt(5))/2 (the golden ratio). 2
0, 1, 3, 6, 10, 16, 23, 31, 40, 51, 62, 75, 89, 105, 122, 140, 159, 179, 201, 224, 248, 273, 300, 327, 356, 387, 418, 451, 485, 520, 557, 594, 633, 674, 715, 758, 801, 847, 893, 941, 989, 1039, 1091, 1143, 1197, 1252, 1308, 1366, 1424, 1484, 1546, 1608, 1672 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Clark Kimberling, Table of n, a(n) for n = 0..1000

FORMULA

a(n) = ceiling(r*n^2), where r = (-1 + sqrt(5))/2.

a(n) = A152738(n) + 1 for n > 0.

MATHEMATICA

z = 120; r = -1+GoldenRatio;

Table[Floor[r*n^2], {n, 0, z}];   (* A152738 *)

Table[Ceiling[r*n^2], {n, 0, z}]; (* A293407 *)

Table[Round[r*n^2], {n, 0, z}];   (* A293408 *)

CROSSREFS

Cf. A001622, A293401, A293403, A152738, A293408.

Sequence in context: A294481 A049697 A111712 * A194144 A330133 A025701

Adjacent sequences:  A293404 A293405 A293406 * A293408 A293409 A293410

KEYWORD

nonn,easy

AUTHOR

Clark Kimberling, Oct 11 2017

STATUS

approved

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Last modified May 28 14:47 EDT 2020. Contains 334684 sequences. (Running on oeis4.)